{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![CF](imgs/netflixCBF.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Content Based Filtering "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Intro\n",
    "The Content-Based Recommender relies on the similarity of the items being recommended. The basic idea is that if you like an item, then you will also like a “similar” item. It generally works well when it’s easy to determine the context/properties of each item.\n",
    "\n",
    "A content based recommender works with data that the user provides, either explicitly movie ratings for the MovieLens dataset. Based on that data, a user profile is generated, which is then used to make suggestions to the user. As the user provides more inputs or takes actions on the recommendations, the engine becomes more and more accurate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bulding Model\n",
    "We are going to build a Content-Based Recommendation Engine that computes similarity between movies based on movie genres. It will suggest movies that are most similar to a particular movie based on its title and genre."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "Ss4bFT3i9rVh"
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from nltk.corpus import stopwords\n",
    "from sklearn.feature_extraction.text import TfidfVectorizer\n",
    "from sklearn.metrics.pairwise import cosine_similarity\n",
    "from sklearn.metrics.pairwise import linear_kernel\n",
    "from wordcloud import WordCloud\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Loading and Exploring"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": false,
    "id": "YsdDca_s9vuv"
   },
   "outputs": [],
   "source": [
    "moviesDF=pd.read_csv(\"ml-1m/movies.dat\",sep='::',engine=\"python\",header=None)\n",
    "moviesDF.columns=[\"movieId\",\"title\",\"genres\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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zm/Z/SVp2CflHBdVC1oJJpBdNpWj+su5z2qvL4io2ZDBJLDo9g4mz0kjP0qLR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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Yrjsfpc2ETKNEmWUh4+JFqPLt2G9aR9/LO7BcuTxmX6ZRYVo7n2BLYk+rzp5q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jf9JpJ0sTo5T9DJtpo/jHisf2N45FnmUJocHWvwbuVjl2g1Fw8jySeQe1U+y35yJVUbKtn+vb7I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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 3883 entries, 0 to 3882\n",
      "Data columns (total 3 columns):\n",
      "movieId    3883 non-null int64\n",
      "title      3883 non-null object\n",
      "genres     3883 non-null object\n",
      "dtypes: int64(1), object(2)\n",
      "memory usage: 91.1+ KB\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "def exploreDataset():\n",
    "    # plot genres as wordcloud\n",
    "    text = str(moviesDF['genres'])\n",
    "    wordcloud = WordCloud().generate(text)\n",
    "    plt.imshow(wordcloud,shape=(400,400))\n",
    "    plt.axis(\"off\")\n",
    "    plt.title(\"Genres Word Cloud\")\n",
    "    plt.show()\n",
    "    \n",
    "    # plot titles as wordcloud\n",
    "    text = str(moviesDF['title'])\n",
    "    wordcloud = WordCloud().generate(text)\n",
    "    plt.imshow(wordcloud,shape=(400,400))\n",
    "    plt.axis(\"off\")\n",
    "    plt.title(\"titles Word Cloud\")\n",
    "    plt.show()\n",
    "    \n",
    "    print(moviesDF.info())\n",
    "exploreDataset()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": false,
    "id": "126NGTYV96nH"
   },
   "outputs": [],
   "source": [
    "def trainModel():\n",
    "    return findSimilarities(buildMoviesVectorizer())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### TF-IDF\n",
    "We will user TfidfVectorizer function from scikit-learn, which transforms text to feature vectors that can be used as input to estimator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def buildMoviesVectorizer():\n",
    "    vectorizer = TfidfVectorizer(analyzer='word',ngram_range=(1, 2),min_df=0.0005,stop_words='english')\n",
    "    tfidf_matrix = vectorizer.fit_transform(moviesDF['title']+\" \"+moviesDF['genres'])\n",
    "    print(\"vectorizer is created\")\n",
    "    return tfidf_matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### cosine similarity\n",
    "We will be using the Cosine Similarity to calculate a numeric quantity that denotes the similarity between two movies. Since we have used the TF-IDF Vectorizer, calculating the Dot Product will directly give me the Cosine Similarity Score. Therefore, we will use `sklearn’s linear_kernel` instead of `cosine_similarities` since it is much faster.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def findSimilarities(tfidf_matrix):\n",
    "    print(\"calculating similarities\")\n",
    "    cosine_similarities = linear_kernel(tfidf_matrix, tfidf_matrix)\n",
    "    itemsSimilars=[]\n",
    "    for idx, row in moviesDF.iterrows():\n",
    "        similar_indices = cosine_similarities[idx].argsort()[:-100:-1]\n",
    "        similar_items = [(cosine_similarities[idx][i], moviesDF['movieId'][i]) for i in similar_indices]\n",
    "        itemsSimilars.append(similar_items)\n",
    "    return itemsSimilars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sorting and preapring results\n",
    "\n",
    "Create new dataframe for final result and skip item which input and return sorted items based on similarity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "Q77hHj1b-Su_"
   },
   "outputs": [],
   "source": [
    "def getSimilarMovies(itemID,topItemsNum):\n",
    "    \n",
    "    recommendedMoviesDF=pd.DataFrame(columns=['movieId','title','genres','similarity'])\n",
    "    topSim=[]\n",
    "    for item in itemsSimilars:\n",
    "        if(item[0][1]==itemID):\n",
    "            topSim=item[1:topItemsNum+1]\n",
    "            print(moviesDF[moviesDF.movieId==itemID].title.values[0])\n",
    "            for item in topSim:\n",
    "                m=moviesDF[moviesDF.movieId==item[1]]\n",
    "                recommendedMoviesDF=recommendedMoviesDF.append({'movieId':m.movieId.values[0],\n",
    "                                                                'title':m.title.values[0],\n",
    "                                                                'genres':m.genres.values[0],\n",
    "                                                                'similarity':item[0]},ignore_index=True)\n",
    "                \n",
    "    return recommendedMoviesDF\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 51
    },
    "colab_type": "code",
    "collapsed": false,
    "id": "Vn6PM6LsEvP_",
    "outputId": "e392a4be-aacd-4d22-aa80-0aff31d3af55"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "vectorizer is created\n",
      "calculating similarities\n"
     ]
    }
   ],
   "source": [
    "itemsSimilars=trainModel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1986
    },
    "colab_type": "code",
    "collapsed": false,
    "id": "2gjnF-eT-qYp",
    "outputId": "10bb2ba7-449d-4281-c1b6-6d41fe8abdaf"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Toy Story (1995)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>movieId</th>\n",
       "      <th>title</th>\n",
       "      <th>genres</th>\n",
       "      <th>similarity</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>3114</td>\n",
       "      <td>Toy Story 2 (1999)</td>\n",
       "      <td>Animation|Children's|Comedy</td>\n",
       "      <td>0.668357</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>13</td>\n",
       "      <td>Balto (1995)</td>\n",
       "      <td>Animation|Children's</td>\n",
       "      <td>0.564193</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2274</td>\n",
       "      <td>Lilian's Story (1995)</td>\n",
       "      <td>Drama</td>\n",
       "      <td>0.484748</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>239</td>\n",
       "      <td>Goofy Movie, A (1995)</td>\n",
       "      <td>Animation|Children's|Comedy|Romance</td>\n",
       "      <td>0.459689</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>244</td>\n",
       "      <td>Gumby: The Movie (1995)</td>\n",
       "      <td>Animation|Children's</td>\n",
       "      <td>0.419633</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>48</td>\n",
       "      <td>Pocahontas (1995)</td>\n",
       "      <td>Animation|Children's|Musical|Romance</td>\n",
       "      <td>0.410815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>295</td>\n",
       "      <td>Pyromaniac's Love Story, A (1995)</td>\n",
       "      <td>Comedy|Romance</td>\n",
       "      <td>0.361606</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>3611</td>\n",
       "      <td>Saludos Amigos (1943)</td>\n",
       "      <td>Animation|Children's|Comedy</td>\n",
       "      <td>0.310997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>888</td>\n",
       "      <td>Land Before Time III: The Time of the Great Gi...</td>\n",
       "      <td>Animation|Children's</td>\n",
       "      <td>0.309906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>3400</td>\n",
       "      <td>We're Back! A Dinosaur's Story (1993)</td>\n",
       "      <td>Animation|Children's</td>\n",
       "      <td>0.309872</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>3751</td>\n",
       "      <td>Chicken Run (2000)</td>\n",
       "      <td>Animation|Children's|Comedy</td>\n",
       "      <td>0.304298</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>616</td>\n",
       "      <td>Aristocats, The (1970)</td>\n",
       "      <td>Animation|Children's</td>\n",
       "      <td>0.300198</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2018</td>\n",
       "      <td>Bambi (1942)</td>\n",
       "      <td>Animation|Children's</td>\n",
       "      <td>0.296443</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>745</td>\n",
       "      <td>Close Shave, A (1995)</td>\n",
       "      <td>Animation|Comedy|Thriller</td>\n",
       "      <td>0.284418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2102</td>\n",
       "      <td>Steamboat Willie (1940)</td>\n",
       "      <td>Animation|Children's|Comedy|Musical</td>\n",
       "      <td>0.284168</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>741</td>\n",
       "      <td>Ghost in the Shell (Kokaku kidotai) (1995)</td>\n",
       "      <td>Animation|Sci-Fi</td>\n",
       "      <td>0.282675</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>1566</td>\n",
       "      <td>Hercules (1997)</td>\n",
       "      <td>Adventure|Animation|Children's|Comedy|Musical</td>\n",
       "      <td>0.276124</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>3754</td>\n",
       "      <td>Adventures of Rocky and Bullwinkle, The (2000)</td>\n",
       "      <td>Animation|Children's|Comedy</td>\n",
       "      <td>0.275946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2354</td>\n",
       "      <td>Rugrats Movie, The (1998)</td>\n",
       "      <td>Animation|Children's|Comedy</td>\n",
       "      <td>0.275569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2294</td>\n",
       "      <td>Antz (1998)</td>\n",
       "      <td>Animation|Children's</td>\n",
       "      <td>0.271523</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   movieId                                              title  \\\n",
       "0     3114                                 Toy Story 2 (1999)   \n",
       "1       13                                       Balto (1995)   \n",
       "2     2274                              Lilian's Story (1995)   \n",
       "3      239                              Goofy Movie, A (1995)   \n",
       "4      244                            Gumby: The Movie (1995)   \n",
       "5       48                                  Pocahontas (1995)   \n",
       "6      295                  Pyromaniac's Love Story, A (1995)   \n",
       "7     3611                              Saludos Amigos (1943)   \n",
       "8      888  Land Before Time III: The Time of the Great Gi...   \n",
       "9     3400              We're Back! A Dinosaur's Story (1993)   \n",
       "10    3751                                 Chicken Run (2000)   \n",
       "11     616                             Aristocats, The (1970)   \n",
       "12    2018                                       Bambi (1942)   \n",
       "13     745                              Close Shave, A (1995)   \n",
       "14    2102                            Steamboat Willie (1940)   \n",
       "15     741         Ghost in the Shell (Kokaku kidotai) (1995)   \n",
       "16    1566                                    Hercules (1997)   \n",
       "17    3754     Adventures of Rocky and Bullwinkle, The (2000)   \n",
       "18    2354                          Rugrats Movie, The (1998)   \n",
       "19    2294                                        Antz (1998)   \n",
       "\n",
       "                                           genres  similarity  \n",
       "0                     Animation|Children's|Comedy    0.668357  \n",
       "1                            Animation|Children's    0.564193  \n",
       "2                                           Drama    0.484748  \n",
       "3             Animation|Children's|Comedy|Romance    0.459689  \n",
       "4                            Animation|Children's    0.419633  \n",
       "5            Animation|Children's|Musical|Romance    0.410815  \n",
       "6                                  Comedy|Romance    0.361606  \n",
       "7                     Animation|Children's|Comedy    0.310997  \n",
       "8                            Animation|Children's    0.309906  \n",
       "9                            Animation|Children's    0.309872  \n",
       "10                    Animation|Children's|Comedy    0.304298  \n",
       "11                           Animation|Children's    0.300198  \n",
       "12                           Animation|Children's    0.296443  \n",
       "13                      Animation|Comedy|Thriller    0.284418  \n",
       "14            Animation|Children's|Comedy|Musical    0.284168  \n",
       "15                               Animation|Sci-Fi    0.282675  \n",
       "16  Adventure|Animation|Children's|Comedy|Musical    0.276124  \n",
       "17                    Animation|Children's|Comedy    0.275946  \n",
       "18                    Animation|Children's|Comedy    0.275569  \n",
       "19                           Animation|Children's    0.271523  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "getSimilarMovies(1,20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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